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Finding the Fourth Proportional to 145,189.92, 217,940.40 and 114,241.44

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Solution

The fourth proportional to 145,189.92, 217,940.40 and 114,241.44 is: 171,484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,189.92 : 217,940.40 = 114,241.44 : x
  2. Step 2: Convert to fraction form
    145,189.92/217,940.40 = 114,241.44/x
  3. Step 3: Cross multiply
    145,189.92x = 217,940.40 × 114,241.44
  4. Step 4: Simplify right side
    145,189.92x = 24,897,825,130.18
  5. Step 5: Solve for x
    x = 24,897,825,130.18/145,189.92
  6. Step 6: Final answer
    x = 171,484.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.